Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656t |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-98537445702212608 = -1 · 210 · 72 · 133 · 197 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 2 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26612,-15195000] |
[a1,a2,a3,a4,a6] |
Generators |
[1037:32747:1] |
Generators of the group modulo torsion |
j |
-2035430602516224/96227974318567 |
j-invariant |
L |
4.7669837150814 |
L(r)(E,1)/r! |
Ω |
0.14756872864966 |
Real period |
R |
5.3839135743033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656be1 6916f1 |
Quadratic twists by: -4 8 |